Vector's map has the scale missing. He knows that the distance for the lake to the youth center is 8 miles. On the map, they are
2 answers:
Answer:
<h2>The scale factor is 1/4.</h2>Step-by-step explanation:
Givens
- The actual distance from the lake to the youth center is 8 miles.
- On the map, the distance is 2 inches.
According to the problem, each 2 inches are equivalent to 8 miles of actual distance.
The scale factor can be found by dividing
Therefore, the scale factor of Vector's map is 1/4, because the actual distance is 4 times bigger.
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The polar equation r = - 4 · cos θ is equivalent to the equation of the circle (x + 2)² + y² = 2², whose radius is 2 and center is (h, k) = (- 2, 0).
<h3>How to transform a polar expression into its rectangular form</h3>Polar and rectangular forms are related by this relation: (x, y) → (r · cos θ, r · sin θ), where r is the radial distance with respect to the origin and θ is the angle in standard position. We can use this fact to change the given expression into its rectangular form:
r = - 4 · (x / r)
r² = - 4 · x
x² + y² = - 4 · x
y² = - (x² + 4 · x)
y² - 4 = - (x² + 4 · x + 4)
y² - 4 = - (x + 2)²
(x + 2)² + y² = 4
(x + 2)² + y² = 2²
In a nutshell, the polar equation r = - 4 · cos θ is equivalent to the equation of the circle (x + 2)² + y² = 2², whose radius is 2 and center is (h, k) = (- 2, 0).
To learn more on polar equations: brainly.com/question/27341756
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